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Finding the Fourth Proportional to 89,471.75, 123,473.38 and 48,638.62

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Solution

The fourth proportional to 89,471.75, 123,473.38 and 48,638.62 is: 67,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,471.75 : 123,473.38 = 48,638.62 : x
  2. Step 2: Convert to fraction form
    89,471.75/123,473.38 = 48,638.62/x
  3. Step 3: Cross multiply
    89,471.75x = 123,473.38 × 48,638.62
  4. Step 4: Simplify right side
    89,471.75x = 6,005,575,186.44
  5. Step 5: Solve for x
    x = 6,005,575,186.44/89,471.75
  6. Step 6: Final answer
    x = 67,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.